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Simplifying 1 + -2(e + 1) = 4(2e + -2) + 11e Reorder the terms: 1 + -2(1 + e) = 4(2e + -2) + 11e 1 + (1 * -2 + e * -2) = 4(2e + -2) + 11e 1 + (-2 + -2e) = 4(2e + -2) + 11e Combine like terms: 1 + -2 = -1 -1 + -2e = 4(2e + -2) + 11e Reorder the terms: -1 + -2e = 4(-2 + 2e) + 11e -1 + -2e = (-2 * 4 + 2e * 4) + 11e -1 + -2e = (-8 + 8e) + 11e Combine like terms: 8e + 11e = 19e -1 + -2e = -8 + 19e Solving -1 + -2e = -8 + 19e Solving for variable 'e'. Move all terms containing e to the left, all other terms to the right. Add '-19e' to each side of the equation. -1 + -2e + -19e = -8 + 19e + -19e Combine like terms: -2e + -19e = -21e -1 + -21e = -8 + 19e + -19e Combine like terms: 19e + -19e = 0 -1 + -21e = -8 + 0 -1 + -21e = -8 Add '1' to each side of the equation. -1 + 1 + -21e = -8 + 1 Combine like terms: -1 + 1 = 0 0 + -21e = -8 + 1 -21e = -8 + 1 Combine like terms: -8 + 1 = -7 -21e = -7 Divide each side by '-21'. e = 0.3333333333 Simplifying e = 0.3333333333
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